1,423 research outputs found
Structure and dynamics of binary liquid mixtures near their continuous demixing transitions
The dynamic and static critical behavior of five binary Lennard-Jones liquid
mixtures, close to their continuous demixing points (belonging to the so-called
model H' dynamic universality class), are studied computationally by combining
semi-grand canonical Monte Carlo simulations and large-scale molecular dynamics
(MD) simulations, accelerated by graphic processing units (GPU). The symmetric
binary liquid mixtures considered cover a variety of densities, a wide range of
compressibilities, and various interactions between the unlike particles. The
static quantities studied here encompass the bulk phase diagram (including both
the binodal and the -line), the correlation length, the concentration
susceptibility, the compressibility of the finite-sized systems at the bulk
critical temperature , and the pressure. Concerning the collective
transport properties, we focus on the Onsager coefficient and the shear
viscosity. The critical power-law singularities of these quantities are
analyzed in the mixed phase (above ) and non-universal critical amplitudes
are extracted. Two universal amplitude ratios are calculated. The first one
involves static amplitudes only and agrees well with the expectations for the
three-dimensional Ising universality class. The second ratio includes also
dynamic critical amplitudes and is related to the Einstein--Kawasaki relation
for the interdiffusion constant. Precise estimates of this amplitude ratio are
difficult to obtain from MD simulations, but within the error bars our results
are compatible with theoretical predictions and experimental values for model
H'. Evidence is reported for an inverse proportionality of the pressure and the
isothermal compressibility at the demixing transition, upon varying either the
number density or the repulsion strength between unlike particles.Comment: 15 pages, 12 figure
Effectiveness of product placement in TV Shows
This study represents a field experiment on the effectiveness of product placement in TV Shows. The author investigates whether product placement enhances brand awareness, positive attitude change and increased purchase intention. If this is found to be true, in which way should the product be presented to influence the consumer in the most desirable way? The results in this study show that the hypothesis is true and it is key for marketers to pick the right type of product placement for their brand to increase either brand awareness, positive attitude change and/or increased purchase intention. The results further show that marketers need to examine the target audience of a TV show to determine the right mixture of modality for the product placement. The mixture can consist of prominent, subtle, plot-connected, purely audio or visual or both audio-visual product placements and has to take into consideration multiple psychological processes which are discussed in this study
Crystalline Ground States in Polyakov-loop extended Nambu--Jona-Lasinio Models
Nambu--Jona-Lasinio-type models have been used extensively to study the
dynamics of the theory of the strong interaction at finite temperature and
quark chemical potential on a phenomenological level. In addition to these
studies, which are often performed under the assumption that the ground state
of the theory is homogeneous, searches for the existence of crystalline phases
associated with inhomogeneous ground states have attracted a lot of interest in
recent years. In this work, we study the Polyakov-loop extended
Nambu--Jona-Lasinio model and find that the existence of a crystalline phase is
stable against a variation of the parametrization of the underlying Polyakov
loop potential. To this end, we adopt two prominent parametrizations. Moreover,
we observe that the existence of a quarkyonic phase depends crucially on the
parametrization, in particular in the regime of the phase diagram where
inhomogeneous chiral condensation is favored.Comment: 7 pages, 3 figure
On Matching, and Even Rectifying, Dynamical Systems through Koopman Operator Eigenfunctions
Matching dynamical systems, through different forms of conjugacies and
equivalences, has long been a fundamental concept, and a powerful tool, in the
study and classification of nonlinear dynamic behavior (e.g. through normal
forms). In this paper we will argue that the use of the Koopman operator and
its spectrum is particularly well suited for this endeavor, both in theory, but
also especially in view of recent data-driven algorithm developments. We
believe, and document through illustrative examples, that this can nontrivially
extend the use and applicability of the Koopman spectral theoretical and
computational machinery beyond modeling and prediction, towards what can be
considered as a systematic discovery of "Cole-Hopf-type" transformations for
dynamics.Comment: 34 pages, 10 figure
- …